Answer:
5r³ - 34r² + 44r - 16
Step-by-step explanation:
[tex] \small \sf \: (5r − 4)(r² − 6r + 4)[/tex]
use the distributive property
5r × (r² − 6r + 4) - 4× (r² − 6r + 4)
5r³ - 30r² + 20r - 4r² + 24r - 16
combine like terms
5r³ - 30r² - 4r² + 20r + 24r - 16
5r³ - 34r² + 44r - 16
The product of the expressions is 5r^3 - 34r^2 + 44r - 16
What is a product?The product of two expression is done by multiplying the expressions
The product expression is given as:
[tex](5r - 4)(r^2 - 6r + 4)[/tex]
Expand the expression
[tex]5r^3 - 30r^2 + 20r - 4r^2 + 24r - 16[/tex]
Collect like terms
[tex]5r^3 - 30r^2 - 4r^2 + 20r + 24r - 16[/tex]
Evaluate the like terms
[tex]5r^3 - 34r^2 + 44r - 16[/tex]
Hence, the product of the expressions is 5r^3 - 34r^2 + 44r - 16
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Choose either YES or NO to tell whether the expression is equivalent to 179 x 44
(179 x 40) + (179 x 4)
(100x4)+(70 x 4)+(9 x 4)
4,000 + 2,800 + 360 + 400 + 280 + 36
(100 x 44) + (70 x 44)+ (9 x 44)
179 (4 + 4)
Answer:
Step-by-step explanation:
(179 * 40) + (179 * 4) = 179 *(40 + 4) = 179 * 44
YES
(100 * 4) + 70*4 + 9*4 = 4 * ( 100 +70 + 9) = 4 * 179
No
4000 + 2800 + 360 + 280 +36 = 7876 = 179 *44
YES
(100 *44) + (70*44) + (9*44) = 44 * (100 + 70 +9) = 44 * 179
YES
179 *(4 +4) = 179 * 8
NO
A and B contributed 2700 and 1800 respectively to start a business. They agreed to share the profit in the ratio 7:5 respectively. If the profit made was 900, Calculate B's share of the profit.
Answer:
375
Step-by-step explanation:
let the ratio constant be 'x'
=>Profit ratio for A=7x
=>Profit ratio for B=5x
Profit=900 (Given)
Sum of the ratios=7x+5x=12x
Therefore,
Profit ratio for A=(7/12)x900=7x75=525
Profit ratio for B=(5/12)x900=7x75=375
The low temperature (t) was 8 Celsius and the high temperature was 16 Celsius, write it as an inequality.
Answer:
8 ≤t≤16
We know the low temperature was 8
8≤ t
And the high was 16
8 ≤t≤16
Step-by-step explanation:
Help help pls pls help help
Multiply the top equation and the bottom by 7.
Answer:
The answer is D: Multiply the top equation by 3 and the bottom equation by 4
Step-by-step explanation:
when you do that, the coefficients for the x on the top and bottom equations both become 12, so you would have to subtract the 2 equations to get rid of x.
PLEASE HELP ME
PLEASE HELP ME
Find the lateral surface area of
the following square pyramid:
4 cm
6 cm
LA = [?] cm2
Answer:
Surrounding area of pyramid = area of a side face multiplied by 4
Step-by-step explanation:
The area of a side face is the area of the triangle:
[tex]\frac{1}{2} *6*4[/tex] = 12
So the perimeter of the pyramid is:
12×4=48
Explanation: because the side faces have the same area.
Select the correct answer from the drop-down menu. James is competing in the shot put event for his track team. His best attempt can be modeled using the quadratic function below, where x represents the horizontal distance, in feet, the shot traveled and h(x) represents the height, in feet, of the shot. h(x) = -0.05.12 + I +6 feet. It continues to increase until x= feet, and then In this situation, the height of the shot starts to increase when x = the height decreases until x= feet.
Answer:
What I did not understand the question properly.Is it a original question
28. An aquarium is 7 feet long, 4 feet wide, and 4.8 feet deep. What is the volume of the tank?
Answer:
V =134.4 ft^3
Step-by-step explanation:
Volume is
V = l*w*h
V = 7*4*4.8
V =134.4 ft^3
Estimate the perimeter and the area of the shaded figure to the nearest tenth.
If x is 6, then 7x =
Answer:
42
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
x = 6
7x
Step 2: Evaluate
Substitute in variables: 7(6)Multiply: 42Jeremy has heard a lot of people in the club talking about tackling a 950-foot rock formation. Jeremy has set a limit that they won’t climb anything that takes longer than 7 hours, so they have enough time to travel to and from the place. Will it be possible to climb a 950-foot rock formation within Jeremy’s time constraint? Explain why or why not.
Answer: no Jeremys time is not constraint
Step-by-step explanation: The amount of minutes to climb up 1 foot of height would take around 2 to 3 minutes, however if you divide 950 with 2 you will get 475 minutes to climb, if we also convert to 475 into hours that will be 7.92 hours . so overall he will climb extra 92 minutes (i really hope this kinda helped)
Please help need answer. NO LINKS
Answer:
Answer choice C) 3a-3
Step-by-step explanation:
Your perimeter is of (10a-6). The first step would be multiply 2a by 2 since you have to sides. Which would give you to 4a. Next you will have to subtract 4a from (10a-6). This would give you 6a-6. Finally divide by two and you will get 3a-3.
Question please help me
9514 1404 393
Answer:
3x -y -30 = 0
Step-by-step explanation:
The reference line for the intercept can be written in standard form as ...
2x +5y = 20
Setting y=0 and solving for x, we find the x-intercept to be ...
2x = 20
x = 20/2 = 10
__
The line perpendicular to the first reference line can use the same x- and y-coordinates, but swapped, with one of them negated. If the line is right-shifted from the origin to the x-intercept point, its equation will be ...
3(x -10) -y = 0
In general form, this is ...
3x -y -30 = 0
_____
Additional comments
Perpendicular lines have slopes that are opposite reciprocals of each other. The slope of a line in general form is ...
m = -(coefficient of x)/(coefficient of y)
The opposite reciprocal of this can be had by swapping the coefficients and negating one of them.
In general form, we like to have the first coefficient positive, so we choose to negate the (new) y-coefficient in this problem.
The general form equation ax+by=0 would define a line through the origin. Using the usual methods for translating functions, we can make the line go through point (h, k) by writing the equation as a(x-h)+b(y-k) = 0. This is the method we used to make the line have the desired x-intercept.
If ABCD is a parallelogram,what is the value of x?
answers
a.) 46
b.) 82
c.) 38
d.) 44
e.) 69
f.) 37
Answer:
D.44
Step-by-step explanation:
i hope its help for you po
What is the measure of the length of AB
Answer:
5
Step-by-step explanation:
AC = AB + BC
16 = x+1 + x+7
Combine like terms
16 =2x+8
Subtract 8 from each side
16-8 = 2x+8-8
8 = 2x
Divide by 2
8/2 = 2x/2
4 =x
We want to find AB
AB = x+1 = 4+1 = 5
If a triangle has one interior angle measuring 102°, what is a possible pair of measurements for the other two
interior angles
it edmentum guided notes so it has to be a writing answer
Answer:
a2+a3=78
a2 and a3 must both be positive numbers that add up to 78
so a2 = a3 = 39
a1=102, a2=39, a3=39
Step-by-step explanation:
a1=102
a1+ a2 + a3=180 (all interrior angles of a triangle add up to 180)
a2+a3=78
a2 and a3 must both be positive numbers that add up to 78
f (x) = x2 – 5, what is f(1)
Answer:
-3
Step-by-step explanation:
f(x)=x2-5 f(1)
f(1)= (1)2 -5
2-5
-3
in an isosceles triangle KLM, ∠K is congruent to ∠M and m ∠M=55°. find the m ∠L
Answer:
70°
Step-by-step explanation:
m ∠L = 180-(55+55)
= 180-110
=70°
Three trees are planted. The direct distance from tree A to tree B is 200 feet. The direct distance from tree B to tree C is 300 feet. Which of the choices could be the direct distance from tree A to tree C?
Answer:
500ft
Step-by-step explanation:
DISTANCE BETWEEN TWO POINTS
We want to firstly assume that the the three trees lies on the same line
so tress A,B and C are on the same line
Given
The direct distance between A to B= 200 ft
The direct distance between B to C= 300 ft
hence A to C= 200+300= 500ft
let us do a graphical representation for better understanding
A----B-----------C
200ft 300ft
A---------- -----C
500ft
A to C= 500ft
A kite is flying 96 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 63º. Find the length of the string. Round your answer to the
nearest tenth.
Answer:
107.7 ft
Step-by-step explanation:
the length of string = 96 /sin 63°
= 107.7 ft
what is 2+a when a=22?
Answer:
24
Step-by-step explanation:
2+a
2 + (22)
= 24
12x15y=4140; x+y= ?
solve.
Answer: The number of $12 tickets and $15 sold are 120 and 180 respectively.
Step-by-step explanation:
The given equation is:
12x + 15y = 4140 .....(1)
Where,
x stands for $12 tickets and y stands for $15 tickets
According to the question:
x + y = 300 ....(2)
Now solving equation 1 and 2.
From equation 2:
x = 300 - y
Now putting this expression in equation 1.
12x + 15y = 4140
12(300 - y) + 15y = 4140
3600 - 12y + 15y = 4140
3600 + 3y = 4140
3y = 4140 - 3600
3y = 540
y = 180
And,
x = 300 - y = 300 - 180 = 120
The number of $12 tickets sold = x = 120
The number of $15 tickets sold = y = 180
Thus, the number of $12 tickets and $15 sold are 120 and 180 respectively.
what does 18% of 50 equal
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
of means multiply
18% * 50
Change to decimal form
.18 * 50
9
A class of 40 pupils voted for their favourite flavour of ice cream. 3/4 of the pupils voted for chocolate, 1/10 of the remaining pupils voted for vanilla and the rest for strawberry. How many voted for strawberry?
Answer:
6 students
Step-by-step explanation:
3/4 = chocolate
1/10 = vanilla
3/4 = 30/40
1/10 = 4/10
30+4=34
40-34 = 6
6 = the number of students that voted for strawberry
help help help due today
Answer:
sin 52°= AB/x
sin 52°=AB/7.7
AB= 6.06 m
how many real solutions does the equation sqrt 2x+4=1/2 x+1 have?
Answer:
unfortunately I do not have the answer, but this is like the only way to tell you something
The 3 real roots of the given equation.
To find the real roots.
What is quadratic equation?Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.
Given that:
The equation are
[tex]\sqrt{2x+4}=\frac{1}{2x} +1\\[/tex]
By squaring both sides
[tex]2x+4=\frac{1}{4x^{2} }+1+\frac{1}{x} \\\\2x-\frac{1}{x}+3=\frac{1}{4x^{2} }\\\\8x^{3}-4x+12x^{2} -1=0\\ \\8x^{3}+12x^{2}-4x -1=0[/tex]
By solving quadratic equation ,Solutions for x
x1 = -1.74543
x2 = -0.17169
x3 = 0.41712
So, the 3 real roots of the given equation.
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What is cramer's rule ??
Cramer's rule is an explicit formula for the solution of a system of linear equations. That has many equations as unknowns and valid whenever the system has a unique solution.
Answer:
Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.
i need help asap
i need to know how to show work
Answer:
A= πr²
A=3.14*5*5
A=78.5cm²
Please help no files just type it in please and thank you <3333
Answer:
9
Step-by-step explanation:
5×9=45
Hope this helps! :)
Answer:
9
Step-by-step explanation:
5x9=45
45 ÷ 5 = 9
45 ÷ 9 = 5
What is your math story? How do you use math in your everyday life?
Answer:
Step-by-step explanation:
I am planning to take an upper division mathematics class starting this Fall 2021 at a four-year college/university right now. In my spare time, I like to come here at https://brainly.com and help out others who struggle with mathematics.
Answer:
Math is essential in day in day out activities.
Step-by-step explanation:
Mathematics covers extensive areas within your comfort zone or the outside world. Just to mention a few making your budgets, running a restaurant, kiosk, calculating time you take rest etc. Mathematics is also done or essential in careers or subjects or units you are undertaking. It has helped me a lot for sure.
D and E are points on sides AB and AC respectively of triangle ABC such that DE || BC. If AD = x-1, DB = x – 3, AE = x + 3 and EC = x , the value of x is:
9514 1404 393
Answer:
9
Step-by-step explanation:
The triangles are similar, so corresponding sides are proportional.
AE/AD = EC/DB
(x+3)/(x -1) = x/(x -3)
x^2 -9 = x^2 -x . . . . . . . cross multiply
x = 9 . . . . . . . . . . . add x+9-x^2 to both sides